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A Numerical Method for Solving Linear First-Order Volterra Integro-Differential Equations With Integral Boundary Condition

dc.authorwosid Temel, Zelal/Jxm-8236-2024
dc.contributor.author Temel, Zelal
dc.contributor.author Cakir, Musa
dc.date.accessioned 2025-05-10T16:57:48Z
dc.date.available 2025-05-10T16:57:48Z
dc.date.issued 2024
dc.department T.C. Van Yüzüncü Yıl Üniversitesi en_US
dc.department-temp [Temel, Zelal] Univ Econ & Pedag, Dept Sci Res Innovat & Training Sci & Pedag staff, Karshi 180100, Uzbekistan; [Cakir, Musa] Van Yuzuncu Yil Univ, Fac Sci, Dept Math, TR-65080 Tusba, Van, Turkiye en_US
dc.description.abstract We investigate an efficient numerical method for the linear first-order Volterra integro-differential equations with integral boundary condition. To solve this problem, boundaries are determined its derivative and the solution. The numerical solutions of the problem are modeled over a uniform mesh using the composite right-side rectangle concept for the integral component and the implicit difference rules for the differential component. Next, the stability and convergence of the numerical approach are discussed. The numerical experiments are presented confirming the accuracy of proposed scheme. en_US
dc.description.woscitationindex Emerging Sources Citation Index
dc.identifier.issn 1932-9466
dc.identifier.issue 2 en_US
dc.identifier.scopusquality N/A
dc.identifier.uri https://hdl.handle.net/20.500.14720/4190
dc.identifier.volume 19 en_US
dc.identifier.wos WOS:001420894900005
dc.identifier.wosquality N/A
dc.language.iso en en_US
dc.publisher Prairie View A & M Univ, dept Mathematics en_US
dc.relation.publicationcategory Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı en_US
dc.rights info:eu-repo/semantics/closedAccess en_US
dc.subject Singularly Perturbed Problem en_US
dc.subject Volterra Integro-Differential Equation en_US
dc.subject Boundary Layer en_US
dc.subject Numerical Solution en_US
dc.title A Numerical Method for Solving Linear First-Order Volterra Integro-Differential Equations With Integral Boundary Condition en_US
dc.type Article en_US

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